Help please! I’m struggling:(

Answer: 112.64 mL

Step-by-step explanation:

     To find the number of milliliters of liquid in the beaker then, we will add all of the given values together.

      79.89 mL + 32.7 mL + 0.05 mL = 112.64 mL

To draw a normal curve for the distribution of sunflower heights, first draw a horizontal line across the center of your paper to represent the mean height of 64 inches. Then, draw a bell-shaped curve above and below the line to represent the distribution of heights. The curve should be symmetrical around the mean.

To label the horizontal axis, start by marking the mean at 64 inches. Then, use the standard deviation of 3.5 inches to mark the points that are one, two, and three standard deviations from the mean. This means that the first point will be at 64 - 3.5 = 60.5 inches, the second point will be at 64 - 3.52 = 57 inches, and the third point will be at 64 - 3.53 = 53.5 inches.

To determine the number of sunflowers that will be taller than 71 inches, we can use the normal distribution to calculate the probability that a sunflower will be taller than 71 inches. Because the distribution is symmetrical around the mean, this probability will be the same as the probability that a sunflower will be shorter than 71 inches. We can then multiply this probability by the total number of sunflowers in the field to get the approximate number of sunflowers that will be taller than 71 inches.

To calculate the probability that a sunflower will be shorter than 71 inches, we need to know the z-score corresponding to 71 inches. The z-score is the number of standard deviations that a given value is from the mean. To calculate the z-score, we can use the formula z = (x - mean)/standard deviation, where x is the value we are interested in (71 inches), mean is the mean of the distribution (64 inches), and standard deviation is the standard deviation of the distribution (3.5 inches). Plugging these values into the formula, we get z = (71 - 64)/3.5 = 2.

We can use this z-score to look up the probability of a value being shorter than 71 inches in a standard normal table. A standard normal table is a table that shows the probabilities for different values of the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. Because our distribution has a different mean and standard deviation, we need to convert our z-score to a standard normal value using the formula z_std = (z - mean)/standard deviation. Plugging in the values from our distribution, we get z_std = (2 - 64)/3.5 = -18.3. Looking up this value in a standard normal table, we find that the probability of a value being shorter than -18.3 is 0.00003.

We can use this probability to approximate the number of sunflowers that will be taller than 71 inches by multiplying the probability by the total number of sunflowers in the field. In this case, we have approximately 0.00003 * 3000 = 0.9 sunflowers that will be taller than 71 inches. This is a very small number, so it is likely that there will be no sunflowers in the field that are taller than 71 inches.

Answer:

false

Step-by-step explanation:

5²+6²=61.

>

Square root of 61 is 7.81 and not 12 so the points will not meet

The algebraic description of the given transformation will be 2/3 (x, y) —> (2/3 x, 2/3 y) thus, option (C) is correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given coordinate P(-9,12) and P'(-6,8)

Since, (2/3)(-9) = -6 and (2/3)(12) = 8

Thus, 2/3 (x, y) —> (2/3 x, 2/3 y) will be correct.

Hence "The given transformation will have the algebraic description 2/3 (x, y) —> (2/3 x, 2/3 y)".

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In standard form the answer would be -6a+35b+48c.

Linkage occurs when on the same chromosome, two genes are closer to each other . On the other hand, Crossing Over takes place when on the same chromosome, two genes are located far apart. Crossing Over may disturb the gene groups made by Linkage.

What is a linkage?

Linkage is the propensity of inheriting genes together on the same chromosome. It is a process in which genes are kept within a chromosome, so that it can be inherited together.

What is a crossing over?

Crossing over is a process of segregation of genes on the chromosome. It further sub-divides the chromosome into its component gametes.

Both, the process of linkage and crossing over are somewhat related to each other, but are yet different phenomenon. Genes are segregated into gametes through the process of crossing over. The lesser the distance in the same chromosome, the lesser is the chance of them being segregated through crossing over.

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3a^2bc^3 is the highest common factor of 147a^6bc^3 and 24a^2bc^3.

What is Highest Common Factor?

In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero. The greatest common divisor of two integers x and y is indicated by the "gcd" symbol.

We have to find the highest common factor of 147a^6bc^3 and 24a^2bc^3.

Here,

147a^6bc^3 = 3a^2bc^3(49a^4)  and

24a^2bc^3 = 3a^2bc^3(8)

From above we can see that 3a^2bc^3 is the common factor of 147a^6bc^3 and 24a^2bc^3.

Hence, 3a^2bc^3 is the highest common factor of 147a^6bc^3 and 24a^2bc^3.

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The use of water in a year will be 138 cubic meter.

What is cube?

The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. It is also asserted to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent example in daily life and can help to increase brain capacity. Similar to this, you'll run into a lot of real-world examples, like 6 sided dice, etc. Solid geometry is the study of three-dimensional objects with surface areas and volumes. Cube, cylinder, cone, and sphere are some of the other solid shapes. Here, we'll talk about its definition, attributes, and relevance to mathematics.

one cubic meter equals 264 gallons.

if you use 100 gallons of water per day.

In a year it will take 365*100 = 36500.

So total water is = 36500/264 = 138.

Hence the use of water in a year will be 138 cubic meters.

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Answer:

Step-by-step explanation:

Train D I believe

The equation of a line whose slope is 3/6 and passes through (8, 4) is y- 4 = 3/6(x -8).

The equation of a line:

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, and y to form an algebraic equation, which is referred to as an equation of a line.

Here we have to find the equation of a line.

Data given:

The slope (m) = 3/6

The point = (8,4)

The general formula for the equation of a line:

y - y1 = m( x - x1)

Where (x1, y1) is the point on the line.

As it is given that the point is ( 8, 4) and the slope is 3/6, so we have,

y - 4 = 3/6(x - 8)

Therefore the equation of a line is y-4 = 3/6(x -8).

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By calculating the equation LHS ≠ RHS, the answer is No solution.

What are the solutions to this system?

There are three types of systems of linear equations in two variables, and three types of solutions:

An independent system has exactly one solution pair (x,y). The point where the two lines intersect is the only solution.

An inconsistent system has no solution.

A dependent system has infinitely many solutions.

For this, you can substitute one of the y's with the other equation

-2x + 2 = -2x - 2

Add 2x to both sides

2 = 0x - 2

Add 2 to both sides

4 = 0

Since 2 does not equal 0 the answer is No solution

Hence, by calculating the equation LHS ≠ RHS, the answer is No solution.

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Answer:

Step-by-step explanation:

i got 72

The roots of the quadratic equation x² - 8x + 16 = 0 are real and equal which is 4.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The quadratic equation is given below.

x² - 8x + 16 = 0

The value of the discriminant is given as,

D = b² - 4ac

D = (-8)² - 4(1)(16)

D = 64 - 64

D = 0

The roots of the equation are calculated as,

x² - 8x + 16 = 0

x² - 4x - 4x + 16 = 0

x(x - 4) - 4(x - 4) = 0

(x - 4)(x - 4) = 0

x = 4, 4

The roots of the quadratic equation x² - 8x + 16 = 0 are real and equal which is 4.

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Answer:

Mode) 7

Median) 6

Mean) 5.2

Range) 7

Step-by-step explanation:

Let's start with what we have:

3, 7, 2, 4, 7, 5, 7, 1, 8, 8

a) The first part of the question we have to do is figure out the mode. The mode of a group of numbers is the number most repeated, which in this case is:

Mode) 7

b) The median of a data set is the number in the middle when ordered from least to greatest. When reordering it, we get:

1,2,3,4,5,7,7,7,8,8

So the number in the middle is...

There is no number in the middle so we have to find the mean of the middlemost numbers which are 5 and 7. Calculating (5 + 7)/2 we get 6, so.

Median) 6

c) The mean of a data set is when we add up all the numbers and then divide by the number of numbers, in this case, is 10. The sum of the numbers is 52. When dividing 52 by 10 we get:

Mode) 5.2

d) The range of a data set is the difference between the greatest number and the smallest number. When subtracting 1 from 8 we get:

Range) 7

Answer: 1/4

Step-by-step explanation:

We know the equation is a/b, and a = 6 when b=24, so we just need to plug the number in the spot of the variable.

6/24 = 1/4

The y - intercept of a linear function is (0, -4).

What is intercepts?

A y-intercept, also known as a vertical intercept, is a point in analytical geometry where the graph of a function or relation intersects the y-axis of the coordinate system, using the convention that the horizontal axis represents a variable x and the vertical axis represents a variable y. Thus,

x = 0 is satisfied at these points.

y - intercept is the point which crosses the y - axis.

Since y - intercept is when x = 0

From the table the first point is x = 0.

Hence, the y - intercept of a linear function is (0, -4).

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Answer:

1.963%

Step-by-step explanation:

Use the equation for compound interest

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]5400 = 4800(1 + \frac{r}{365})^{(365)(6)}\\5400/4800 = 4800(1 + \frac{r}{365})^{(365)(6)}/4800\\1.125 = (1 + \frac{r}{365})^{2190}\\\sqrt[2190]{1.125} = \sqrt[2190]{ (1 + \frac{r}{365})^{2190}} \\1.0000537836544 = 1 + \frac{r}{365} \\1.0000537836544 -1 = 1 + \frac{r}{365} -1\\.0000537836544 = \frac{r}{365}\\(.0000537836544)(365) = ( \frac{r}{365})(365)\\.019631 = r[/tex]

Answer:

(a + 7)(a² + 15a + 59) + 0 = a³ + 15a² + 59a + 12

Step-by-step explanation:

To solve this problem, we can use the long division method.

First, we need to divide the first term of the dividend, which is a³, by the first term of the divisor, which is a. This gives us a quotient of a² with a remainder of 0. We write this as follows:
a³ + 15a² + 59a + 12

a + 7 |

—————

a²  | 0

Next, we multiply the divisor by the quotient and subtract it from the dividend, giving us a new dividend of 15a² + 59a + 12. We write this as follows:

a³ + 15a² + 59a + 12

a + 7 |

—————

a²  | 0

 -  |

a²  | 15a² + 59a + 12

Next, we divide the first term of the new dividend, which is 15a², by the first term of the divisor, which is a. This gives us a quotient of 15a with a remainder of 0. We write this as follows:
a³ + 15a² + 59a + 12

a + 7 |

—————

a²  | 0

 -  |

a²  | 15a² + 59a + 12

   |

   | 15a | 0

Next, we multiply the divisor by the quotient and subtract it from the dividend, giving us a new dividend of 59a + 12. We write this as follows:

a³ + 15a² + 59a + 12

a + 7 |

—————

a²  | 0

 -  |

a²  | 15a² + 59a + 12

   |

   | 15a | 0

    -  |

   15a | 59a + 12

Finally, we divide the first term of the new dividend, which is 59a, by the first term of the divisor, which is a. This gives us a quotient of 59 with a remainder of 0. We write this as follows:
a³ + 15a² + 59a + 12

a + 7 |

—————

a²  | 0

 -  |

a²  | 15a² + 59a + 12

   |

   | 15a | 0

    -  |

   15a | 59a + 12

      |

      | 59 | 0

Since the remainder is 0, this means that the expression (a³ + 15a² + 59a + 12) is divisible by (a + 7). Therefore, the quotient is:

a³ + 15a² + 59a + 12

a + 7

—————

a² + 15a + 59

We can check our answer by multiplying the divisor by the quotient and adding the remainder (which is 0), and verifying that the result is equal to the original dividend
(a + 7)(a² + 15a + 59) + 0 = a³ + 15a² + 59a + 12

The solution is Option C.

Number of squares n in a size number s is given by the equation n = 4s + 1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

Let the number of squares be = n

Let the size number be = s

Now ,

Figure 1 :

The size number s = 1

The number of squares in the figure 1 is = 5 squares

So , the equation will be n = 4s + 1

n = 4 x 1 + 1 = 5 squares

Figure 2 :

The size number s = 2

The number of squares in the figure 2 is = 9 squares

So , the equation will be n = 4s + 1

n = 4 x 2 + 1

n = 8 + 1 = 9 squares

Figure 3 :

The size number s = 3

The number of squares in the figure 2 is = 13 squares

So , the equation will be n = 4s + 1

n = 4 x 3 + 1

n = 12 + 1 = 13 squares

Hence , The equation is given by n = 4s + 1 , where n is the number of squares and s is the size number

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The equivalent fraction is defined below and the few equivalent fractions of 1/2 are 2/4 , 3/6... .

In the question ,

it is given that the fraction is 1/2 .

The Equivalent Fractions are defined as the fractions that have different numerators and denominators but are equal to same value  and

A fraction is a part of the whole ; Equivalent fractions represent the same portion of that whole.

the fraction is 1/2 ,

to find the equivalent fraction , we multiply numerator and denominator by 2 ,

we get , 2/4

on multiplying by 3 , we get

= 3/6 .

Therefore , the equivalent fractions of 1/2 are 2/4 , 3/6 ...

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Answer: a

Step-by-step explanation:

10/2 = 5

5-6=-1

Answer:

The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity.

Feline Flavor is cheaper per pound than Kitty Kibbles (or Kitty Kibbles is more expensive than Feline Flavor per pound).

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

To find the unit price you divide the total cost of the bag by the amount of pounds in the bag.

Thus, the unit price of Kitty Kibbles is 24/16, or 1.5.  This means that each pound of Kitty Kibbles costs $1.50.

Also, the unit price of Feline Flavor is 11.20/8, or 1.4.  This means that each pound of Feline Flavor costs $1.40

Feline Flavor is cheaper per pound than Kitty Kibbles (or Kitty Kibbles is more expensive than Feline Flavor per pound).

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Answer: c, 84

Step-by-step explanation:

The Graph of the Function f(x) = 3|x + 2| will the third graph

What are Function?

In mathematics, a definition from a set X to the a set Y assigns each component of X precisely one element of Y. The set X is known as the function's domain, as well as the set Y is known as the function's codomain. Al-Biruni as well as Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest known treatment of the idea of function. Initially, functions represented the idealised relationship between varying quantities and other variables. For instance, time affects a planet's position. In the past, the idea was developed with infinitesimal calculus just at end of the 17th century and until the late nineteenth century, this same functions that were taken into consideration were differentiable.

Solution:

The Graph of the Function f(x) = 3|x + 2| will the third graph as shown in the attached image too

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To solve the scale drawing, use the equation of scale factor = The dimension of the new shape / The original size of the shape

The scale factor is the ratio of the new size of the object to the original size of the object

The equation will be

The scale factor = The dimension of the new shape / The original size of the shape

If the the dimensions of the drawing and the scale factor is given

To find the actual size of the object multiply the dimensions of the drawing with the scale factor

The equation will be

The actual size = The scale factor × The dimensions of the drawing

Therefore, to solve the scale drawing we have to use the equation of scale factor

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She donated 30 percentage of her saving which is 74.40.

To calculate the percentage, divide the value by the total value and multiply the result by 100.

The formula for percentage = (Value/Total value) 100

We must use a different formula to calculate the percentage of a number, such as:

X = P% of Number

where X represents the required percentage.

If we remove the % sign, the above formulas must be expressed as;

X = P/100 * Number

Given:

She decided to donate = 30% of her savings

The total amount she had = 248

Let the amount she donated = x

[tex]amount donated=\frac{x}{100}whole \\= \frac{30}{100}248\\ = \frac{7440}{100} \\=74.40[/tex]

As per the question

Therefore, she donated 30 percentage of her saving which is 74.40.

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The value of the function f(-2) is (a) -1

From the question, we have the following parameters that can be used in our computation:

f(x) = [x³,  x < -3

        | 2x² - 9, x > -3

        { 5x+4, x ≥ 4

To calculate the function f(-2), we make use of the domain

x > -3

This is because

-2 > -3

So, we have

f(x) = 2x² - 9

Substitute the known values in the above equation, so, we have the following representation

f(-2) = 2(-2)² - 9

Evaluate

f(-2) = -1

Hence, the function is (a) -1

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The amount of rabbits produced is 6, 18, 54, 162, and 486.

A permutation is an orderly arrangement of the items or numbers.

Combinations are a means to choose items or numbers from a collection or set of items without regard for the items' chronological sequence.

There are 3 pairings if there are 6 children, 3 of which are male and 3 of which are female.

18 will result from 6 children from each pair.

Thus, there are now 9 pairs.

That equates to either 27 pairs or 54 rabbits.

There would be 162 offspring if each of the 27 pairs had 6 kids.

81 breeding pairs would be left after this, and so on.

Consequently, the following number of rabbits will be produced.

6 for first year

18 for second year

54 for third year

162 for the 4th year

For year five, 486

The amount of rabbits produced is 6, 18, 54, 162, and 486.

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On rolling a standard die , the probability of getting a even number and less than 4 is  1/6 .

In the question ,

it is given that ,

a standard die is rolled ,

the total outcomes is {1 , 2 , 3 , 4 , 5 , 6} .

the even numbers are {2,4,6} .

and the outcome that are less than 4 is only {2} .

so , the number of favorable outcome is only 1 .

and total number of outcome is 6 ;

So , the probability is = (favorable outcome)/(total outcome)

Substituting the value from above ,

we get ,

probability is = 1/6 .

Therefore , the required probability is  1/6 .

The given question is incomplete , the complete question is

You roll a standard die. What is the probability of getting a even number and less than 4 ?

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